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A042151
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Denominators of continued fraction convergents to sqrt(600).
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3
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1, 2, 97, 196, 9505, 19206, 931393, 1881992, 91267009, 184416010, 8943235489, 18070886988, 876345810913, 1770762508814, 85872946233985, 173516654976784, 8414672385119617, 17002861425216018, 824552020795488481, 1666106903016192980, 80797683365572751521
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,98,0,-1).
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FORMULA
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G.f.: -(x^2-2*x-1) / ((x^2-10*x+1)*(x^2+10*x+1)). - Colin Barker, Dec 02 2013
a(n) = 98*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Jan 15 2014
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MATHEMATICA
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Denominator[Convergents[Sqrt[600], 30]] (* Vincenzo Librandi, Jan 15 2014 *)
LinearRecurrence[{0, 98, 0, -1}, {1, 2, 97, 196}, 30] (* Harvey P. Dale, Jul 04 2022 *)
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PROG
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(MAGMA) I:=[1, 2, 97, 196]; [n le 4 select I[n] else 98*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Jan 15 2014
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CROSSREFS
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Cf. A042150, A040575.
Sequence in context: A139884 A297423 A189313 * A233192 A065592 A233767
Adjacent sequences: A042148 A042149 A042150 * A042152 A042153 A042154
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KEYWORD
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nonn,frac,easy
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Colin Barker, Dec 02 2013
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STATUS
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approved
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